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Finding the Fourth Proportional to 37,176.76, 55,753.62 and 12,547

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Solution

The fourth proportional to 37,176.76, 55,753.62 and 12,547 is: 18,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,176.76 : 55,753.62 = 12,547 : x
  2. Step 2: Convert to fraction form
    37,176.76/55,753.62 = 12,547/x
  3. Step 3: Cross multiply
    37,176.76x = 55,753.62 × 12,547
  4. Step 4: Simplify right side
    37,176.76x = 699,540,670.14
  5. Step 5: Solve for x
    x = 699,540,670.14/37,176.76
  6. Step 6: Final answer
    x = 18,816.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.